Chapter 8.7, Problem 13PPS

To determine

To calculation:

Component form of the given vector.

Answer to Problem 13PPS

Component form of the given vector $\overline{GF}$ is $\langle -3,-6\rangle$ .

Explanation of Solution

Given information:

  

Calculation:

For finding out component form of given vector component notation is used.

  $\langle x_2-x_1,y_2-y_1\rangle$

Find the change in $x$ vales and the change in $y$ values by plugging in two points on the vector.

  $\begin{array}{l}\overline{GF}=\langle x_2-x_1,y_2-y_1\rangle \\ \overline{GF}=\langle 2-5,-2-4\rangle \\ \overline{GF}=\langle -3,-6\rangle \end{array}$

Hence, Component form of the given vector $\overline{GF}$ is $\langle -3,-6\rangle$ .